The stopping potential doubles when the frequency of the incident light changes from v to 3v2- Then the work function of the metal must be -

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Standard XII

Chemistry

Photoelectric Effect

The stopping ...

Question

The stopping potential doubles when the frequency of the incident light changes from $v$ to $\frac{3 v}{2}$ . Then the work function of the metal must be :

\frac{h v}{2}

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h v

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2

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none of the above

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Solution

The correct option is B $\frac{h v}{2}$
Stopping potential is the potential necessary to stop the electron from reaching the other electrode.
When the frequency of incident light is $v$
$h v = ϕ + V_{s}$
When the frequency of incident light is increased to $3 v / 2$
$\frac{3 h v}{2} = ϕ + 2 V_{s}$
Solving above equations: $ϕ = \frac{h v}{2}$

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